The Hayden-Peskill thought experiment implies that there exists a quantum channel \(V_{DB^{\prime }}\)  such that the input state on \(A\)  can be transferred to \(R^{\prime }\)  if the quantum channel \(U_{AB}\)  is given by a scrambling dynamics and \(N_D\ge N_A+\epsilon \)  for a small number \(\epsilon \)  [1]},
\(V_{DB^{\prime }}{\Psi }={\begin{array}{c}\vbox {\vspace{1.19998pt}\hbox{\hspace{0.79999pt}\includegraphics [scale=0.4]{fig_V_HPstate_v2}}}\end{array}}\,.\) 
